Recursively generated weighted shifts and the subnormal completion problem, II

Ra�l E. Curto; Lawrence A. Fialkow

doi:10.1007/bf01200183

Recursively generated weighted shifts and the subnormal completion problem, II

Integral Equations and Operator Theory ◽

10.1007/bf01200183 ◽

1994 ◽

Vol 18 (4) ◽

pp. 369-426 ◽

Cited By ~ 42

Author(s):

Ra�l E. Curto ◽

Lawrence A. Fialkow

Keyword(s):

Weighted Shifts ◽

Completion Problem

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A Subnormal Completion Problem for Weighted Shifts on Directed Trees

Integral Equations and Operator Theory ◽

10.1007/s00020-018-2496-9 ◽

2018 ◽

Vol 90 (6) ◽

Cited By ~ 1

Author(s):

George R. Exner ◽

Il Bong Jung ◽

Jan Stochel ◽

Hye Yeong Yun

Keyword(s):

Weighted Shifts ◽

Completion Problem

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Recursively generated weighted shifts and the subnormal completion problem

Integral Equations and Operator Theory ◽

10.1007/bf01200218 ◽

1993 ◽

Vol 17 (2) ◽

pp. 202-246 ◽

Cited By ~ 59

Author(s):

Ra�l E. Curto ◽

Lawrence A. Fialkow

Keyword(s):

Weighted Shifts ◽

Completion Problem

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$$\varvec{m}$$–Isometric Composition Operators on Directed Graphs with One Circuit

Integral Equations and Operator Theory ◽

10.1007/s00020-021-02658-0 ◽

2021 ◽

Vol 93 (5) ◽

Author(s):

Zenon Jan Jabłoński ◽

Jakub Kośmider

Keyword(s):

Composition Operators ◽

Directed Graphs ◽

Weighted Shifts ◽

Completion Problem ◽

Affirmative Solution

AbstractThe aim of this paper is to investigate m–isometric composition operators on directed graphs with one circuit. We establish a characterization of m–isometries and prove that complete hyperexpansivity coincides with 2–isometricity within this class. We discuss the m–isometric completion problem for unilateral weighted shifts and for composition operators on directed graphs with one circuit. The paper is concluded with an affirmative solution of the Cauchy dual subnormality problem in the subclass with circuit containing one element.

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A Subnormal Completion Problem for Weighted Shifts on Directed Trees, II

Integral Equations and Operator Theory ◽

10.1007/s00020-020-2565-8 ◽

2020 ◽

Vol 92 (1) ◽

Author(s):

George R. Exner ◽

Il Bong Jung ◽

Jan Stochel ◽

Hye Yeong Yun

Keyword(s):

Weighted Shifts ◽

Completion Problem

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Reducing subspaces for the product of a forward and a backward operator-weighted shifts

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.125206 ◽

2021 ◽

Vol 501 (2) ◽

pp. 125206

Author(s):

Xu Tang ◽

Caixing Gu ◽

Yufeng Lu ◽

Yanyue Shi

Keyword(s):

Weighted Shifts ◽

Reducing Subspaces

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The Totally Positive Completion Problem: The 3-by-n Case

Special Matrices ◽

10.1515/spma-2020-0134 ◽

2021 ◽

Vol 9 (1) ◽

pp. 226-239

Author(s):

D. Carter ◽

K.E. DiMarco ◽

C.R. Johnson ◽

L. Wedemeyer ◽

Z. Yu

Keyword(s):

Completion Problem ◽

Totally Positive

Abstract The 3-by-n TP-completable patterns are characterized by identifying the minimal obstructions up to natural symmetries. They are finite in number.

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